Geodesic
Singularities of the network flow with symmetric initial data
Matteo Novaga1 orcid ; Luciano Sciaraffia2 orcid
1University of Pisa, Pisa, Italy
2Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Germany
Interfaces and free boundaries, Tome 27 (2025) no. 1, pp. 13-25

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DOI

We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.
DOI : 10.4171/ifb/526
Classification : 53E99, 53A04, 35R02
Mots-clés : evolution of networks, singularities, curve shortening flow

Matteo Novaga  1   ; Luciano Sciaraffia  2

1 University of Pisa, Pisa, Italy
2 Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Germany 
Matteo Novaga; Luciano Sciaraffia. Singularities of the network flow with symmetric initial data. Interfaces and free boundaries, Tome 27 (2025) no. 1, pp. 13-25. doi: 10.4171/ifb/526
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